Answer:
Probability of selected sample is floral = 1 / 3
Step-by-step explanation:
Given:
Number of fabric sample = 6 sample
Number of floral sample from all samples = 2 samples
Find:
Probability of selected sample is floral
Computation:
Probability of a sample = Favorable outcome / Total outcomes
Probability of selected sample is floral = Number of floral sample / Number of fabric sample
Probability of selected sample is floral = 2 / 6
Probability of selected sample is floral = 1 / 3
Answer:
Since he earned one third as many as Jose
it's 8
Step-by-step explanation:
Sorry, not sure how to describe it, but the lower the temperature, the higher the hot chocolate sales.
Solutions
1) The first step is to find the Least Common Denominator (LCD) of <span>3/8,1/8,1/3,1/4
</span>⇒ Start Listing Multiples
List out all multiples of each denominator, and find the first common one.
8: <span><span>8,16,24</span>
</span>
8 : <span>8,16,24
</span>
3 : <span>3,6,9,12,15,18,21,24
</span>
4 : <span><span>4,8,12,16,20,24</span>
</span>
Therefore, the LCD is <span>24
</span>⇒ By Prime Factors
List all prime factors of each denominator, and find the union of these primes.
8 : <span>2,2,2</span>
8 : <span>2,2,2</span>
3 : 3
4 : <span><span>2,2</span>
</span>
Therefore, the LCD is <span>2×2×2×3=24
</span>Make the denominators the same as the LCD
<span><span><span>3×3 / </span><span>8×3 </span></span>+<span><span>1×3 / </span><span>8×3 </span></span>−<span><span>1×8 / </span><span>3×8 </span></span>+<span><span>1×6 / </span><span>4×6
</span></span></span>Simplify. Denominators are now the same
<span><span>9 / 24</span>+<span>3 / 24</span>−<span>8 / 24</span>+<span>6 / 24
</span></span>Join all the denominators
<span><span>9+3−8+6 / </span>24
</span>Simplify
<span>10 / 24
</span>Simplify fraction 10 / <span>24</span>
<span>5 / 12</span>
GCF is 5m^2 n^2
m^2 has exponent 2 and n^2 has exponent 2
(1) m^5n^5
here there is no 5 so it does not have GCF
(2) 5m^4n^3
m^4 has exponent 4 greater than exponent 2
n^3 has exponent 4 greater than exponent 2
5m^4n^3 have GCF
(3) 10m^4n
10 is 5*2 . it has GCF 5
m^4 has exponent 4 greater than exponent 2
n has exponent 1 less than exponent 2
10m^4n does not have GCF
(4) 15m^2n^2
15 is 3*5 which has GCF 5
m^2 has exponent 2 which is equal to exponent 2
n^2 has exponent 2 which is equal to exponent 2
15m^2n^2 have GCF
(5) 24m^3n^4
24 is 2*2*2*3 does not have GCF
m^3 has exponent 3 greater than exponent 2
n^4 has exponent 4 greater than exponent 4
24m^3n^4 does not have GCF
